Activities/Abacus/Worksheet/Answersheet
< Activities | Abacus | Worksheet
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Answers to the Abacus Worksheet
Ways to make 1/2 just using one string
To make 1/2 just using one string, the fraction denominator must be divisible by 2. The string must contain an even number of beads, 2 4 6 8 10 12
Ways to make 1/2 with more than one string
1/3 + 1/6
1/3 + 2/12
1/4 + 1/6 + 1/12
1/4 + 2/8
1/4 + 3/12
3/9 + 2/12
2/8 + 3/12
1/6 + 4/12
1/6 + 3/9
1/6 + 2/8 + 1/12
2/6 + 2/12
1/5 + 3/10
2/5 + 1/10
Is this all of the possibilities?
See Diophantine equations, computer programs including ones written in TurtleArt can find all the solutions by trial and error.